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Finding the Third Proportional to 50,406,406 and 77,848,165.75

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Solution

The third proportional to 50,406,406 and 77,848,165.75 is: 120,229,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406,406 : 77,848,165.75 = 77,848,165.75 : x
  2. Step 2: Convert to fraction form
    50,406,406/77,848,165.75 = 77,848,165.75/x
  3. Step 3: Cross multiply
    50,406,406x = 77,848,165.75 × 77,848,165.75
  4. Step 4: Simplify right side
    50,406,406x = 6,060,336,910,639,473
  5. Step 5: Solve for x
    x = 6,060,336,910,639,473/50,406,406
  6. Step 6: Final answer
    x = 120,229,498.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.